Complex Numbers

$\left|z_3\right|=1,\left|z_4\right|=2, \operatorname{Im}\left(z_3 z_4\right)=0$

$\left|z_3\right|=2,\left|z_4\right|=1, \operatorname{Re}\left(z_3 z_4\right)=0$

$\left|z_3\right|=1,\left|z_4\right|=2, \operatorname{Re}\left(z_3 z_4\right)=0$

$\left|z_3\right|=2,\left|z_4\right|=1, \operatorname{Re}\left(z_1 z_3\right)=\operatorname{Im}\left(z_2 z_4\right)=0$